Discrete Integrable Systems: Recent Episodes
Cambridge University
The theory of (ordinary and partial) differential equations is well-established and to some extent standardised. By contrast, the theory of difference equations, while more fundamental, has until recently been in its infancy, in spite of a major effort at the beginning of the 20th Century by N"orlund and the school of G.D. Birkhoff to establish the linear theory. Discrete systems can appear in two main guises: in the first case the independent variable is discrete, taking values on a lattice (e.g. finite-difference equations, such as recurrence relations and dynamical mappings), in the second case the independent variable is continuous (e.g. analytic difference equations and even functional equations).
Very recently, however, mainly through advances in the theory of exactly integrable discrete systems and the theory of (linear and nonlinear) special functions, the study of difference equations has undergone a true revolution. For the first time good and interesting examples of nonlinear difference equations admitting exact, albeit highly nontrivial, solutions were found and this has led to the formulation of novel approaches to the classification and treatment of such equations. Thus, an area has developed where several branches of mathematics and physics, that are usually distinct, come together: complex analysis, algebraic geometry, representation theory, Galois theory, spectral analysis and the theory of special functions, graph theory, and difference geometry.
Read more at: www.newton.ac.uk/programmes/DIS/
van Diejen, JF (Ponticia Universidad Católica de Chile) Thursday 11 July 2013, 11:30-12:00
Calogero, F (Università degli Studi di Roma La Sapienza) Tuesday 09 July 2013, 09:30-10:00
Yoo-Kong, S (King Mongkut's University of Technology Thonburi) Monday 08 July 2013, 14:30-15:00
Tsuda, T (Kyushu) Friday 03 July 2009, 14:30-15:00 Discrete Systems and Special Functions
Rappoport, J (Russian Academy of Sciences) Friday 03 July 2009, 12:00-12:30 Discrete Systems and Special Functions
Ohyama, Y (Osaka) Friday 03 July 2009, 14:00-14:30 Discrete Systems and Special Functions
Kajiwara, K (Kyushu) Friday 03 July 2009, 15:30-16:30 Discrete Systems and Special Functions
Its, A (Indiana University Indianapolis) Friday 03 July 2009, 09:00-10:00 Discrete Systems and Special Functions
Hussain, MD (Veer Kunwar Singh) Friday 03 July 2009, 11:30-12:00 Discrete Systems and Special Functions
van Assche, W (Katholieke Universiteit Leuven) Friday 03 July 2009, 10:00-11:00 Discrete Systems and Special Functions
Yao, Y (Tsinghua) Thursday 02 July 2009, 14:30-15:00 Discrete Systems and Special Functions
Witte, NS (Melbourne) Thursday 02 July 2009, 15:30-16:30 Discrete Systems and Special Functions
Stokman, J (Universiteit van Amsterdam) Thursday 02 July 2009, 09:00-10:00 Discrete Systems and Special Functions
Schlosser, M (Universität Wien) Thursday 02 July 2009, 10:00-11:00 Discrete Systems and Special Functions
Pacharoni, I (Universidad Nacional de Córdoba) Thursday 02 July 2009, 12:00-12:30 Discrete Systems and Special Functions
Hay, M (Kyushu) Thursday 02 July 2009, 11:30-12:00 Discrete Systems and Special Functions
Atakishiyev, N (Universidad Nacional Autónoma de México ) Thursday 02 July 2009, 14:00-14:30 Discrete Systems and Special Functions
Tierz, M (Brandeis) Wednesday 01 July 2009, 12:00-12:30 Discrete Systems and Special Functions
Rains, EM (CALTECH) Wednesday 01 July 2009, 09:00-10:00 Discrete Systems and Special Functions
Hone, A (Kent) Wednesday 01 July 2009, 10:00-11:00 Discrete Systems and Special Functions
Prellberg, T (QMUL) Wednesday 01 July 2009, 11:30-12:00 Discrete Systems and Special Functions
Spicer, P (KL Leuven) Tuesday 30 June 2009, 14:00-14:30 Discrete Systems and Special Functions
Rahman, M (Carleton) Tuesday 30 June 2009, 15:30-16:30 Discrete Systems and Special Functions
Previato, E (Boston) Tuesday 30 June 2009, 09:00-10:00 Discrete Systems and Special Functions
Pickering, A (Universidad Rey Juan Carlos) Tuesday 30 June 2009, 12:00-12:30 Discrete Systems and Special Functions
Mazzocco, M (Loughborough) Tuesday 30 June 2009, 10:00-11:00 Discrete Systems and Special Functions
Koelink, E (Radboud Universiteit Nijmegen) Tuesday 30 June 2009, 16:30-17:30 Discrete Systems and Special Functions
Gordoa, PR (Universidad Rey Juan Carlos) Tuesday 30 June 2009, 11:30-12:00 Discrete Systems and Special Functions
Dominici, D (State University of New York) Tuesday 30 June 2009, 14:30-15:00 Discrete Systems and Special Functions
Ruijsenaars, S (Leeds/Loughborough) Monday 29 June 2009, 10:00-11:00 Discrete Systems and Special Functions
Ramani, A (École Polytechnique) Monday 29 June 2009, 11:30-12:30 Discrete Systems and Special Functions
Mansfield, E (Kent) Monday 29 June 2009, 16:30-17:30 Discrete Systems and Special Functions
Hubert, E (INRIA Sophia Antipolis) Monday 29 June 2009, 15:30-16:30 Discrete Systems and Special Functions
Hereman, W (Colorado School of Mines) Monday 29 June 2009, 14:00-15:00 Discrete Systems and Special Functions
Taimanov, I (Novosibirsk State) Friday 15 May 2009, 11:00-12:00 Algebraic Theory of Difference Equations
Novikov, S (Maryland) Friday 15 May 2009, 15:00-16:00 Algebraic Theory of Difference Equations
Laine, I (Joensuu) Friday 15 May 2009, 14:00-15:00 Algebraic Theory of Difference Equations
Hardouin, C (Heidelberg) Friday 15 May 2009, 09:30-10:30 Algebraic Theory of Difference Equations
di Vizio, L (CNRS, IMJ, Paris) Thursday 14 May 2009, 11:00-12:00 Algebraic Theory of Difference Equations
Matzat, B-H (Heidelberg) Thursday 14 May 2009, 09:30-10:30 Algebraic Theory of Difference Equations
Kowalski, P (Wroclaw) Thursday 14 May 2009, 14:00-15:00 Algebraic Theory of Difference Equations
Halburd, R (UCL) Thursday 14 May 2009, 16:30-17:30 Algebraic Theory of Difference Equations
Gekhtman, M (Notre Dame) Thursday 14 May 2009, 15:00-16:00 Algebraic Theory of Difference Equations
van der Put, M (Groningen) Wednesday 13 May 2009, 11:00-12:00 Algebraic Theory of Difference Equations
Sokolov, V (Landau Institute for Theoretical Physics) Wednesday 13 May 2009, 16:30-17:00 Algebraic Theory of Difference Equations
Ovchinnikov, A (Illinois, Chicago) Wednesday 13 May 2009, 17:30-18:00 Algebraic Theory of Difference Equations
Nishioka, S (Tokyo) Wednesday 13 May 2009, 17:00-17:30 Algebraic Theory of Difference Equations
Juan, L (Texas Tech) Wednesday 13 May 2009, 18:00-18:30 Algebraic Theory of Difference Equations
Halburd, R (UCL) Wednesday 13 May 2009, 09:30-10:33 Algebraic Theory of Difference Equations
Scanlon, T (UC, Berkeley) Tuesday 12 May 2009, 11:00-12:00 Algebraic Theory of Difference Equations
Tomasic, I (QMUL) Tuesday 12 May 2009, 17:30-18:00 Algebraic Theory of Difference Equations
Sauloy, J (Paul Sabatier Toulouse III) Tuesday 12 May 2009, 15:00-16:00 Algebraic Theory of Difference Equations
Ramis, J-P (Paul Sabatier Toulouse III) Tuesday 12 May 2009, 14:00-15:00 Algebraic Theory of Difference Equations
Singer, M (North Carolina State) Monday 11 May 2009, 09:30-10:30 Algebraic Theory of Difference Equations
Casale, G (Rennes 1) Monday 11 May 2009, 16:30-17:30 Algebraic Theory of Difference Equations
Ramis, J-P (Paul Sabatier Toulouse III) Monday 11 May 2009, 14:00-15:00 Algebraic Theory of Difference Equations
Ralph Willox (Tokyo) Wednesday 01 April 2009, 11:30-12:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Yasuhiko Yamada Kobe University Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Weston, R (Heriot-Watt) Thursday 02 April 2009, 14:15-15:00 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Peter van der Kamp (La Trobe) Monday 30 March 2009, 15:30-16:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Takenawa, T (Tokyo Uni of Marine Science) Tokyo University of Marine Science and Technology Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Blazej Szablikowski (Glasgow) Monday 30 March 2009, 16:15-17:00 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Wolfgang K. Schief (TU Berlin) Friday 03 April 2009, 09:30-10:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Junkichi Satsuma (Aoyama Gakuin University) Aoyama Gakuin University Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Masato Okado Osaka University Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Masatoshi Noumi (Kobe University) Kobe University Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Frank Nijhoff (Leeds) Friday 03 April 2009, 10:15-11:00 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Toshiki Nakashima (Sophia) Tuesday 31 March 2009, 10:15-11:00 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Atsuo Kuniba (Tokyo) Thursday 02 April 2009, 09:30-10:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Christian Korff (Glasgow) Friday 03 April 2009, 11:30-12:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Rinat Kedem (U of Illinois at Urbana-Champaign) U of Illinois at Urbana-Champaign Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Kakei, S (Rikkyo) Wednesday 01 April 2009, 10:15-11:00 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Shinsuke Iwao (Tokyo) Thursday 02 April 2009, 16:15-17:00 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Rei Inoue (Suzuka University) Suzuka University Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Berenstein, A (Oregon) Tuesday 31 March 2009, 09:30-10:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Vsevolod Adler (Landau Institute) Monday 30 March 2009, 14:15-15:00 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Chatzidakis, Z (Paris 7 - Denis-Diderot) Tuesday 12 May 2009, 16:30-17:30 Algebraic Theory of Difference Equations
Singer, M (North Carolina State) Tuesday 12 May 2009, 09:30-10:30 Algebraic Theory of Difference Equations
Umemura, H (Nagoya) Monday 11 May 2009, 15:00-16:00 Algebraic Theory of Difference Equations
Scanlon, T (UC, Berkeley) Monday 11 May 2009, 11:00-12:00 Algebraic Theory of Difference Equations
Tetsuji Tokihiro (Tokyo) Monday 30 March 2009, 11:30-12:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Kajiwara, K (Kyushu) Thursday 02 April 2009, 11:30-12:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems
Veselov, A (Loughborough) Wednesday 01 April 2009, 09:30-10:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems